146685559104 has 168 divisors, whose sum is σ = 480849602688. Its totient is φ = 41880683520.

The previous prime is 146685559093. The next prime is 146685559147. The reversal of 146685559104 is 401955586641.

It is a happy number.

146685559104 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 85 + 559 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6080314 + ... + 6104390.

It is an arithmetic number, because the mean of its divisors is an integer number (2862200016).

Almost surely, 2^146685559104 is an apocalyptic number.

146685559104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146685559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240424801344).

146685559104 is an abundant number, since it is smaller than the sum of its proper divisors (334164043584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146685559104 is a wasteful number, since it uses less digits than its factorization.

146685559104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25613 (or 25600 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 146685559104 in words is "one hundred forty-six billion, six hundred eighty-five million, five hundred fifty-nine thousand, one hundred four".